Atkin-Lehner |
2- 5+ 11+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
78320bb |
Isogeny class |
Conductor |
78320 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
2.7094306745102E+20 |
Discriminant |
Eigenvalues |
2- 2 5+ 4 11+ -4 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11592856,15175868400] |
[a1,a2,a3,a4,a6] |
Generators |
[122716650:13698973450:9261] |
Generators of the group modulo torsion |
j |
42066378545079252394009/66148209826909100 |
j-invariant |
L |
9.2683212245553 |
L(r)(E,1)/r! |
Ω |
0.17401011535328 |
Real period |
R |
8.8771862544216 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996639 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9790d2 |
Quadratic twists by: -4 |